Theorem merco1lem2 1550

Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco1 1546. (Contributed by Anthony Hart, 17-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
merco1lem2

Proof of Theorem merco1lem2

Step	Hyp	Ref	Expression
1		retbwax2 1549	. . 3
2		merco1 1546	. . 3
3	1, 2	ax-mp 5	. 2
4		merco1 1546	. 2
5	3, 4	ax-mp 5	1

Syntax hints:  ->wi 4  wfal 1400

This theorem is referenced by:  merco1lem3  1551  merco1lem10  1559  merco1lem11  1560  merco1lem18  1567

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 185  df-tru 1398  df-fal 1401